Methods2025 NHT Exam 2 Section A · Q14CAS active1 mark

Maximal domain of a product function

Consider the functions $f(x) = \log_e(x^2 + 2x - 3)$ and $g(x) = \sqrt{2x+7}$ , each defined over its maximal domain.

The maximal domain of the product function $h(x) = f(x)\,g(x)$ is

1 mark

(-\infty, -3) \cup (1, \infty)

\left(1, \frac{7}{2}\right)

\left[-\frac{7}{2}, \infty\right)

\left[-\frac{7}{2}, -3\right) \cup (1, \infty)

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